Radiative integral transfer equations for a rectangular absorbing, non-emitting, and linearly anisotropically scattering homogeneous medium are solved numerically for the incident energy and the net heat flux components using the method of “singularity subtraction.” A benchmark problem is chosen as a rectangular homogeneous cold participating medium which is subject to externally uniform diffuse radiation on the bottom wall. The solutions for the incident energy and net heat flux components for selected points for a square domain are provided in tabular form for benchmarking purposes.
Issue Section:
Technical Notes
1.
Tan
, Z.
, 1989
, “Combined Radiative and Conductive Heat Transfer in Two-Dimensional Emitting, Absorbing and Anisotropic Scattering Square Media
,” Int. Commun. Heat Mass Transfer
, 16
, pp. 391
–401
.2.
Tan
, Z.
, 1989
, “Radiative Heat Transfer in Multidimensional Emitting, Absorbing, and Anisotropic Scattering Media—Mathematical Formulation and Numerical Method
,” ASME J. Heat Transfer
, 111
, pp. 141
–147
.3.
Wu, S. H., Wu, C. Y., and Hsu, P. F., 1996, “Solutions of Radiative Heat Transfer in Nonhomogeneous Participating Media Using the Quadrature Method,” ASME HTD, 332, pp. 101–108.
4.
Hsu
, P. F.
, Tan
, Z. M.
, Wu
, S. H.
, and Wu
, C. Y.
, 1999
, “Radiative Heat Transfer in the Finite Homogeneous and Nonhomogeneous Scattering Media Exposed to Collimated Radiation
,” Numer. Heat Transfer
, 31
(8
), pp. 819
–836
.5.
Loyalka
, S. K.
, and Tsai
, R. W.
, 1975
, “A Numerical Method for Solving Integral Equations of Neutron Transport-II
,” Nucl. Sci. Eng.
, 58
, pp. 193
–202
.6.
Crosbie
, A. L.
, and Schrenker
, R. G.
, 1984
, “Radiative Transfer in a Two-Dimensional Rectangular Medium Exposed to Diffuse Radiation
,” J. Quant. Spectrosc. Radiat. Transf.
, 31
(4
), pp. 339
–372
.7.
Altac¸
, Z.
, 2002
, “The SKN Approximation for Solving Radiative Transfer Problems In Absorbing, Emitting, and Isotropically Scattering Plane-Parallel Medium: Part 1
,” ASME J. Heat Transfer
, 124
, pp. 674
–684
.8.
Altac¸
, Z.
, 2002
, “The SKN Approximation for Solving Radiative Transfer Problems in Absorbing, Emitting, and Linearly Anisotropically Scattering Plane-Parallel Medium: Part 2
,” ASME J. Heat Transfer
, 124
, pp. 685
–695
.9.
Altac¸
, Z.
, 2003
, “Radiative Transfer in Absorbing, Emitting and Linearly Anisotropic Scattering Inhomogeneous Cylindrical Medium
,” J. Quant. Spectrosc. Radiat. Transf.
, 77
(2
), pp. 177
–192
.10.
Abramowitz, M., and Stegun, I. A., 1964, Handbook of Mathematical Functions, Dover Publications Inc., New York.
11.
Altac¸
, Z.
, 1996
, “Integrals Involving Bickley and Bessel Functions in Radiative Transfer and Generalized Exponential Integral Function
,” ASME J. Heat Transfer
, 118
(3
), pp. 789
–791
.Copyright © 2004
by ASME
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